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mariarad [96]
3 years ago
11

Leo, Kush and Mai share some money in the ratio 3:5:8

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

The total amount of money that they shared is \£6,000

Step-by-step explanation:

Let

x-----> amount of money Leo shares

y-----> amount of money Kush shares

z-----> amount of money Mai shares

we know that

\frac{x}{y} =\frac{3}{5}

x=\frac{3}{5}y -----> equation A

\frac{y}{z} =\frac{5}{8}

z=\frac{8}{5}y -----> equation B

\frac{x}{z} =\frac{3}{8}

z=\frac{8}{3}x -----> equation C

y=x+750 ------> equation D

substitute equation A in equation D and solve for y

y=\frac{3}{5}y+750

y-\frac{3}{5}y=750

\frac{2}{5}y=750

y=750*5/2=\£1,875

Find the value of x (equation A)

x=\frac{3}{5}(1,875)=\£1,125

Find the value of z (equation C)

z=\frac{8}{3}(1,125)=\£3,000

therefore

The total amount of money is equal to

x+y+z=\£1,125+\£1,875+\£3,000=\£6,000

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